Finding the Fourth Proportional to 2,152.45, 2,969.92 and 1,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152.45 : 2,969.92 = 1,407.50 : x
2. Step 2: Convert to fraction form
   2,152.45/2,969.92 = 1,407.50/x
3. Step 3: Cross multiply
   2,152.45x = 2,969.92 × 1,407.50
4. Step 4: Simplify right side
   2,152.45x = 4,180,162.40
5. Step 5: Solve for x
   x = 4,180,162.40/2,152.45
6. Step 6: Final answer
   x = 1,942.05